96. The value of the Pearson correlation coefficient (r) ranges between:
a) -∞ and +∞
b) 0 and 1
c) -1 and 1
d) 0 and 100
Answer:
c) -1 and 1
Explanation:
Mathematically, the Pearson correlation coefficient is strictly bounded, always falling on a scale between -1 (perfect negative correlation) to +1 (perfect positive correlation).
97. If the correlation between X and Y is 0.7, what is the correlation between Y and X?
a) -0.7
b) 0.3
c) 0.7
d) -0.3
Answer:
c) 0.7
Explanation:
The correlation coefficient measures the symmetrical linear relationship between two variables. It is commutative, meaning the correlation of X with Y is exactly identical to the correlation of Y with X.
98. Which of the following graphical representations is most suitable for displaying the relative proportions of different categories in categorical data?
a) Pie Chart
b) Histogram
c) Frequency Polygon
d) Ogive Curve
Answer:
a) Pie Chart
Explanation:
A pie chart divides a circle into proportional slices representing categories, making it the most visually effective standard chart for displaying relative percentage proportions of categorical data.
99. The average temperature (in °C) for 5 days is: 22, 24, 26, 28, 30. If each day’s temperature increases by 2°C, the new median is:
a) 26°C
b) 28°C
c) 30°C
d) 32°C
Answer:
b) 28°C
Explanation:
The original sorted temperatures are 22, 24, 26, 28, 30, so the original median is 26°C. If every value in a dataset is increased by a constant (2), the median also increases by that exact constant. New median = 26 + 2 = 28°C.
100. Which of the following is a discrete variable?
a) Height
b) Temperature
c) Number of students
d) Weight
Answer:
c) Number of students
Explanation:
A discrete variable can only take on specific, distinct, countable values (whole numbers). You can count a specific “number of students,” whereas height, temperature, and weight are continuous variables measured on a scale.
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